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3 years ago

Please help me. Factor. 5x^+23x+26

Mathematics

1 answer:

Alexus [3.1K]3 years ago

4 0

20,897,614 solved | 1,346 online

Skip Ad 
 5x2-23x=-26 Two solutions were found : x = 2 x = 13/5 = 2.600

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

5*x^2-23*x-(-26)=0

Step by step solution :Skip Ad
 Step 1 :Equation at the end of step 1 : (5x2 - 23x) - -26 = 0 Step 2 :Trying to factor by splitting the middle term

2.1 Factoring 5x2-23x+26

The first term is, 5x2 its coefficient is 5 .
The middle term is, -23x its coefficient is -23 .
The last term, "the constant", is +26 

Step-1 : Multiply the coefficient of the first term by the constant 5 • 26 = 130

Step-2 : Find two factors of 130 whose sum equals the coefficient of the middle term, which is -23 .

-130 + -1 = -131 
 -65 + -2 = -67 
 -26 + -5 = -31 
 -13 + -10 = -23 That's it

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Find the solutions x^2=27

g100num [7]

The answer is 5.196152423

Since - x^2=27
X=square root of 27
=5.196152423

4 0

3 years ago

Sierra applies a coat of epoxy paint to the four sides and floor of a rectangular swimming pool. The pool is 4 feet deep, 18 fee

Brilliant_brown [7]

Answer:

4 gallons of paint

Step-by-step explanation:

We solve using the formula for surface area of rectangular prism.

A=2(wl+hl+hw)

Where:

w = Width

h = Height

l = Length

The pool is 4 feet deep, 18 feet long, and 12 feet wide.

Hence,

=2 × (12 × 18 + 4 × 18 + 4 ×12)

=672 square feet

One gallon of paint covers 155 square feet.

Hence,

155 square feet = 1 gallon of paint

672 square feet = x

Cross Multiply

155 square feet × x = 672 square feet × 1 gallon of paint

x = 672 square feet × 1 gallon of paint/ 155 square feet

x = 4.335483871 gallons of paint

Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint

4 0

3 years ago

juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi

Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Amount of hours worked by Juan.

Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0

2 years ago

Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of

Olin [163]

Answer:

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

$X \sim N(17.5,4)$